Question: 7. Let the random variables X and Y have the joint PDF given below: f (x, y) = kxy2 for 0 x 2,

7. Let the random variables X and Y have the joint PDF given below:

f (x, y) = kxy2 for 0 ≤ x ≤ 2, x ≤ y ≤ 3.

(a) Find the constant k. (Hint. Use the property that the volume under the entire surface defined by f (x, y) is 1.)

(b) Find the joint CDF of X and Y.

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